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82379246225 = 527345139313
BaseRepresentation
bin100110010111000101…
…1111000101010010001
321212122011002022020112
41030232023320222101
52322203041334400
6101502225051105
75644302016343
oct1145613705221
9255564068215
1082379246225
1131a33a33a81
1213b70786a95
1379cb035213
143db6b55293
1522222e5835
hex132e2f8a91

82379246225 has 12 divisors (see below), whose sum is σ = 103549586316. Its totient is φ = 65000609280.

The previous prime is 82379246161. The next prime is 82379246231. The reversal of 82379246225 is 52264297328.

It can be written as a sum of positive squares in 6 ways, for example, as 514019584 + 81865226641 = 22672^2 + 286121^2 .

It is not a de Polignac number, because 82379246225 - 26 = 82379246161 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22567832 + ... + 22571481.

It is an arithmetic number, because the mean of its divisors is an integer number (8629132193).

Almost surely, 282379246225 is an apocalyptic number.

It is an amenable number.

82379246225 is a deficient number, since it is larger than the sum of its proper divisors (21170340091).

82379246225 is a wasteful number, since it uses less digits than its factorization.

82379246225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45139396 (or 45139391 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

The spelling of 82379246225 in words is "eighty-two billion, three hundred seventy-nine million, two hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 73 365 1825 45139313 225696565 1128482825 3295169849 16475849245 82379246225